Question

A 30° sector in a circle has an area of 12.25π cm². What is the area of the circle? Use 3.14 for pi. Just type your answer with no units.

Answer 1

Answer:

461.58

Step-by-step explanation:

Area of a sector =

$\frac{theta}{360} \times \pi {r}^{2}$

$12.25\pi \times 360 = 30 \times \pi {r}^{2}$

Divide both sides by 30

$\pi {r}^{2} = \frac{12.25\pi \times 360}{30}$

Area of the circle = 147π = 461.58